Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of (C2×D3)⋊AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#91177 |
| Hall | C3×C5 ⋊ C2×C4⋊C8 |
| Sylow | C5 ⋊ C2×Dic3⋊C8 |
| Sylow | C3 ⋊ C2×#4004 |
276 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 122 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 960 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | #14296122, C4×#91177, #14296164, … |
| maximal normal subgroup of | #14296122, C4×#91177, #14296164, … |
| maximal quotient of | C2×#11746513, C2×#11746515, #14285576, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6210);